The mass of the Milky Way (MW) is a longstanding question, without clear & precise resolution. An array of estimates exist, many of which seem to partially agree, partially disagree or totally disagree with each other. To address the question of MW mass, the results of Watkins (2019), Eadie (2015-2019) & Karukes (2020) are tested against The Cosmological Hubble Constant ÔH_0Õ & Cosmic Microwave Background Radiation (CMBR) Temperature ÔT_0Õ. A Model Testing Algorithm (MTA) is developed enabling users to discard incorrect or conflicting results to more accurately determine the Virial Mass ÔM_VirÕ of the MW constrained by filters [e.g. H_0, T_0]. The MTA is subsequently developed into a Model Testing Procedure (MTP) showing that intermediate Watkins (2019) MW mass estimates (e.g. 1.54 ¥ 10^12 MS) breach Particle Data Group (PDG) requirements for the satisfaction of ÔH_0Õ & ÔT_0Õ constraints; whilst Eadie (2019) MW mass solutions of less than Ô7 ¥ 10^11 MSÕ are substantially more compliant. The Ideal Solutions for Virial Mass ÔM_VirÕ & Virial Radius Ôr_VirÕ precisely satisfying ÔH_0Õ & ÔT_0Õ are found to be Ô6.37679587662515 ¥ 10^11 MSÕ & Ô182.597396787976(kpc)Õ respectively. It is also shown that the Eadie (2017) Virial Mass ÔM_VirÕ solutions considered at 300(kpc) violate The Standard Model of Cosmology (SMoC), & that the results presented in ÔThe Mass of The Milky Way from The H3 SurveyÕ [i.e. Eadie (2021)] may be discarded.